Question 1
The sum of the squares of two consecutive even numbers is 6500. Which is the smaller number?
A. 54
B. 52
C. 48
D. 56
Solutions
Let the two numbers be x and (x + 2).
Then, x² + (x + 2)² = 6500
⇒ x² + x² + 4x + 4 = 6500
⇒ 2x² + 4x – 6496 = 0
⇒ x² + 2x – 3248 = 0
⇒ x² + 58x – 56x – 3248 = 0
⇒ (x + 58) (x – 56) = 0
⇒ x = 56
Question 2
The product of two consecutive even numbers is 582168. Which is the smaller number?
A. 760
B. 762
C. 764
D. 766
Solutions
Let the numbers be x and (x + 2)
Then, x × (x + 2) = 582168
⇒ x² + 2x – 582168 = 0
⇒ x² + 764x – 762x – 582168 = 0
⇒ (x + 764) (x – 762) = 0
⇒ x = 762
Question 3
A, B, C, D and E are five consecutive odd numbers The sum of A and C is 146. What is the value of E?
A. 75
B. 81
C. 71
D. 79
Solutions
A + C = 146
⇒ A + A + 4 = 146
⇒ A = 
∴ E = A + 8 = 71 + 8 = 79
Question 4
The cost of 3 chairs and 10 tables is Rs 9856. What is the cost of 6 chairs and 20 tables?
A. Rs 17227
B. Rs 18712
C. Rs 19172
D. Rs 19712
Solutions
Let the cost of one chair be Rs x and that of a table be = Rs y
According to the question,
3x + 10y = Rs 9856
⇒ 2 × (3x + 10y) = 2 × 9856
∴ 6x + 20y = Rs 19712
Question 5
A canteen requires 13 dozen bananas per day. How many bananas will it require for 9 weeks?
A. 728
B. 9828
C. 1404
D. 9882
Solutions
Requirement of bananas for 1 day in the canteen = 13 dozens
∴ Requirement of bananas for 9 weeks i.e. 63 days
= 63 × 13 dozens
= 63 × 13 × 12 = 9828.
Question 6
There are 12 dozen mangoes in a box. If there are 43 such boxes, how many mangoes are there in all the boxes together?
A. 516
B. 3096
C. 6192
D.628
Solutions
Number of mangoes = 12 dozens
= 12 × 12 = 144
∴ Number of mangoes in 43 boxes
= 43 × 144 = 6192
Question 7
If an amount of Rs 15,487 is divided equally among 76 students, approximately how much amount will each student get?
A. Rs 206
B. Rs 210
C. Rs 204
D. Rs 218
Solutions
Amount received by each student = 
= ≈ Rs 204
Question 8
How many pieces of 8.6 metres length cloth can be cut out of a length of 455.8 metres cloth?
A. 43
B. 48
C. 55
D. 53
Solutions
Number of pieces = 
= 53
Question 9
If an amount of Rs 41,910 is distributed equally amongst 22 persons, how much amount would each person get?
A. Rs 1905
B. Rs 2000
C. Rs 745
D. Rs 765
Solutions
Required amount = 
= Rs 1905
Question 10
A canteen requires 112 kgs of wheat for one week. How many kgs of wheat will it require for 69 days?
A. 1,204kgs
B.1,401kgs
C. 1,104kgs
D. 1,014kgs
Solutions
Quantity of wheat for 7 days = 112 kg
∴ Quantity of wheat for 1 day = 
kg
∴ Quantity of wheat for 69 days = 
× 69 = 1104 kg
